Question: ( 7 marks ) Let L be a regular language over some finite alphabet A . Define the Kleene star of L as L =

(7 marks) Let L be a regular language over some finite alphabet A. Define the Kleene star of L as L={w1w2...wk|k in Nandwi in L foralli}. Note that \epsi in L(corresponding to the case k =0). Prove the existence of a FSA recognising L.

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